How are naive Bayes methods used in supervised learning?

How are naive Bayes methods used in supervised learning?

Naive Bayes methods are a set of supervised learning algorithms based on applying Bayes’ theorem with the “naive” assumption of conditional independence between every pair of features given the value of the class variable. Bayes’ theorem states the following relationship, given class variable and dependent feature vector through , :

What kind of algorithm is naive Bayes classifier?

Naive Bayes classifiers are a collection of classification algorithms based on Bayes’ Theorem. It is not a single algorithm but a family of algorithms where all of them share a common principle, i.e. every pair of features being classified is independent of each other.

Why do we use categorical data in naive bases?

Naive bases is often described using categorical data because it is easy to describe and calculate using ratios. A more useful version of the algorithm for our purposes supports numeric attributes and assumes the values of each numerical attribute are normally distributed (fall somewhere on a bell curve).

How are feature vectors used in naive Bayes?

Multinomial Naive Bayes: Feature vectors represent the frequencies with which certain events have been generated by a multinomial distribution. This is the event model typically used for document classification. Bernoulli Naive Bayes: In the multivariate Bernoulli event model, features are independent booleans (binary variables) describing inputs.

How to calculate the probability of an event in naive Bayes?

Naive Bayes classifier calculates the probability of an event in the following steps: Step 3: Put these value in Bayes Formula and calculate posterior probability. Step 4: See which class has a higher probability, given the input belongs to the higher probability class.

Is it possible to overfit naive Bayes with data?

Naive Bayes has shown to perform well on document classification, but that doesn’t mean that it cannot overfit data. There is a difference between the task, document classification, and the data.

How is Bernoulli naive Bayes used in scikit-learn?

Bernoulli Naive Bayes ¶ BernoulliNB implements the naive Bayes training and classification algorithms for data that is distributed according to multivariate Bernoulli distributions; i.e., there may be multiple features but each one is assumed to be a binary-valued (Bernoulli, boolean) variable.